A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtain...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/12/2149 |
| _version_ | 1797545933671497728 |
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| author | Emel Karaca Fatih Yılmaz Mustafa Çalışkan |
| author_facet | Emel Karaca Fatih Yılmaz Mustafa Çalışkan |
| author_sort | Emel Karaca |
| collection | DOAJ |
| description | This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on. |
| first_indexed | 2024-03-10T14:22:57Z |
| format | Article |
| id | doaj.art-05c42508386549d7b4979fa7cff1476c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T14:22:57Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-05c42508386549d7b4979fa7cff1476c2023-11-20T23:12:36ZengMDPI AGMathematics2227-73902020-12-01812214910.3390/math8122149A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual CoefficientsEmel Karaca0Fatih Yılmaz1Mustafa Çalışkan2Polatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, TurkeyPolatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, TurkeyFaculty of Science, Gazi University, Ankara 06560, TurkeyThis paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on.https://www.mdpi.com/2227-7390/8/12/2149quaternionssplit quaternions with quaternion coefficientsdual quaternions |
| spellingShingle | Emel Karaca Fatih Yılmaz Mustafa Çalışkan A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients Mathematics quaternions split quaternions with quaternion coefficients dual quaternions |
| title | A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients |
| title_full | A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients |
| title_fullStr | A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients |
| title_full_unstemmed | A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients |
| title_short | A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients |
| title_sort | unified approach split quaternions with quaternion coefficients and quaternions with dual coefficients |
| topic | quaternions split quaternions with quaternion coefficients dual quaternions |
| url | https://www.mdpi.com/2227-7390/8/12/2149 |
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